Answer:
\(y-x = 16\)
Step-by-step explanation:
Given
Set 1: (9,5,y,2,x)
Set 2: (8,x,4,1,3)
Required
(y - x)
First the mean values of set 1 and set 2 has to be calculated
For set 1
\(Mean _1 = \frac{(9+5+y+2+x)}{5}\)
Collect like terms
\(Mean _1 = \frac{9+5+2+y+x}{5}\)
\(Mean _1 = \frac{16+ y+x}{5}\)
For set 2
\(Mean _2 = \frac{(8+x+4+1+3)}{5}\)
Collect like terms
\(Mean _2 = \frac{8+4+1+3+x}{5}\)
\(Mean _2= \frac{16+ x}{5}\)
Given that the mean of set 1 is twice the mean of set 2;
\(Mean_1 = 2Mean_2\)
\(\frac{16+ y+x}{5} =2 * \frac{16+x}{5}\)
Multiply both sided by 5
\(5 * \frac{16+ y+x}{5} = 5 * 2 * \frac{16+x}{5}\)
\(16+ y+x = 2 * (16+x)\)
Open bracket
\(16+ y+x = 32 + 2x\)
Subtract 16 from both sides
\(16+ y+x- 16 = 32 + 2x - 16\)
\(16 - 16 + y+x = 32 - 16 + 2x\)
\(y+x = 16 + 2x\)
Subtract 2x from both sides
\(y+x-2x = 16 + 2x-2x\)
\(y-x = 16\)
Need this question answered
Answer:
Answer is D or since there is no letters the last answer
Step-by-step explanation:
The customer service department of a company found that the relationship between the number of minutes a customer spends on hold when telephoning and the customer's level of satisfaction on a 10-point scale can be approximated by the equation y=10−0.1x
, where x
is the number of minutes on hold and y
is the level of satisfaction. What does 0.1 represent in the equation?
In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.
Define slopeit represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.
In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.
In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.
To Know more about variables, visit:
https://brainly.com/question/17344045
#SPJ1
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
for such more question on fewest number
https://brainly.com/question/859564
#SPJ8
Identify the slope as positive, negative, zero or undefined
Answer:
Zero
Step-by-step explanation:
I need to find the slope and the y intercept of y=-1/4+3
and how to graph it
Answer:
The y-intercept is: 3 You will start at (0,3)
The slope is: 1/4 meaning that you will go up 1 and 4 to the right each time
Step-by-step explanation:
guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below.
A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500.
The counselor converts the frequency table to a conditional relative frequency table by column.
A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0.12, 0.88, 1.0. The third column is labeled lower than 90 with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries X, Y, 1.0.
What is the value of X?
0.16
0.20
0.24
0.40
Answer:
C:0.24
Step-by-step explanation:
The test scores of students in a math class are 56, 42, 50, 63, 58, 41, 50, 48, 68, and 48. What is the mean of this set of data?
A. 55.6
B. 50
C. 52.4
D. 48.6
Answer:
C. 52.4
Step-by-step explanation:
guys im kinda yk...... so help - Scientists use negative numbers to represent points below sea level and positive numbers to represent points above sea level. Jill is hang gliding 5/4 km above sea level. Directly below her, she sees a whale that is 0.1 km below sea level. What is the difference in elevation between Jill and the whale?
what is the answer...
Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.
What is the difference in the level of elevation?Jill's elevation relative to sea level is:
= +5/4 km
The whale's elevation relative to sea level is:
= - 0.1 km
The difference is therefore:
= 5/4 - (-0.1)
= 1.25 + 0.1
= 1.35 km
Find out more on elevation relative to sea level at https://brainly.com/question/10843282
#SPJ1
anyone wanna help me with this??
Answer:
1.c
2.b
3. c
4.d
Step-by-step explanation:
leave an brainlest!
What is sum of the vectors, LeftAngleBracket 4, negative 5 RightAngleBracket and LeftAngleBracket 10, 2 RightAngleBracket?
ANSWER: B
14,-3
Answer:
14,-3
Step-by-step explanation:
Answer:
14, -3
Step-by-step explanation:
I got it right edg 2023
Biologists studying the re-vegetation of two species of succulent plants in the South African desert examined the number of plants that survived depending on whether they were planted in multi-species clumps or planted alone. The following data resulted: Planted in Multi-Species Clumps Planted Alone Number of Species 1 Survived 64 87 Number of Species 2 Survived 34 47
Step-by-step explanation:
sorry these is notr qoustoin:(
HURRYYYYWhat are the coordinates of point P?
Answer:
-2, -4.5
Step-by-step explanation:
Answer:
(-2,-4.5)
Step-by-step explanation:
(x, y) the point p is between-4 and-5
To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A √114
B √52
C 2020
D 5252
E 25
By using the formula for the distance we will see that the correct option is B:
√52
What distance did she find?
We will use the general formula to find the distance between two points (a, b) and (c, d)
it is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:
distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)
distance = √52
The correct option is B.
Learn more about the distance between two points:
https://brainly.com/question/7243416
#SPJ1
Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons ad 150 miles related? How are 1 gallon and 30 miles related?
Answer:
It shows for each gallon consumed, we multiply by 30 to get the amount of miles
This applies for the three questions
Step-by-step explanation:
10 gallons and 300 miles are related in such a way that you divide the number if miles by number of gallons.
300/10 = 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
5 gallons ad 150 miles related in such a way that you divide the number if miles by number of gallons.
150/5 = 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
1 gallon and 30 miles related in such a way that you divide the number if miles by number of gallons.
30/1= 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
Match the system of linear equations on the left with its solution type on the right
1. Y=2x-1
Y=2x+1
2. Y-4x=-2
Solution for the given System of linear equation is:
Infinite number of solution(2, -3)(-2, 4)Infinite number of solutionWhat are System of equation?Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.
Given, the system of linear equations on the left with its solution type on the right
For Y=2x-1 and Y=2x+1
Adding both equation, we will get y = 4x
Thus, these equations have infinite number of solution
For 2x - y = 7 and 3x + y = 3
Adding these equations
5x = 10
x= 2
Substitute the value in equation 1
y = -3
Thus, solution is (2, - 3)
therefore, the Solution for the given System of linear equation is:
Infinite number of solution(2, -3)(-2, 4)Infinite number of solutionLearn more about System of equation here:
https://brainly.com/question/12628931
#SPJ1
Complete question:
for which of the following is X=-5 a solution select all that apply 
Answer:
x + 10 = -5
|2x|=10
x<0
There were 120 planes on an airfield. if 75% of the plane took off for a flight, how many planes took off?
Answer:
90 planes
Step-by-step explanation:
Take the total number of planes and multiply by the percentage of planes that took off
120 * 75%
120 * .75
90
(a +2b)2 + 4b² - a²
Answer:
a^2+4b^2+2a+4b
Step-by-step explanation:
(a +2b)2 + 4b² - a²
=2a+4b+4b^2+a^2
=a^2+4b^2+2a+4b
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
If 3/5 of a bag of jelly beans weighs 6 3/4 ounces , how much does one bag of jelly beans weigh?
Line k is represented by the equation y = 2x + 2. Write
an equation of a line that is perpendicular to line k that also passes through the point (-2, 9)?
Step-by-step explanation:
so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.
the slope in
y = 2x + 2
is the factor of x : 2 or 2/1
the perpendicular slope is turning this upside down and flips the sign : -1/2
the point- slope form is
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 9 = -1/2(x - -2)
y - 9 = (-1/2)x - 1
y = (-1/2)x + 8
ASAP PLEASE HELP I NEED KT
Answer:
a) $136,283.49
b) $360,000
c) $223,716.51
Step-by-step explanation:
a) The amortization formula tells the relationship between the monthly payment (A) and the principal (P).
A = P(r/12)/(1 -(1 +r/12)^(-12t)
Monthly payment on loan of P at annual rate r for t years.
P = $1000(12/0.08)(1 -(1 +0.08/12)^(-12·30)) ≈ $136,283.49
You can afford a loan of $136,283.49.
__
b) The 360 payments of $1000 each will total $360,000.
You will pay the loan company $360,000.
__
c) The interest is the difference between what you paid and what you received.
interest = $360,000 -136,283.49 = $223,716.51
Of the amount you repay, $223,716.51 is interest.
the diameter of a circle is 18in find its area to the nearest tenth
Answer:
approximately 254.5
btw area of circle= pi multiplied by radius
Step-by-step explanation: I got you bro
Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]
but because it asks for nearest tenth
254.5 in²
this is your real answer
What angle is 3 times its complement?; What angle is equal to 2 times its complement?; Is the supplement of an angle is three times its complement?; What is the complementary angle of 2 by 3?
The complementary angle is x= 36 degrees.
What are angles?When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.
When two lines meet at a point, an angle is created.
An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.
Angles are a common occurrence in daily life.
Angles are used by engineers and architects to create highways, structures, and sports venues.
According to our question-
The complementary angle is x
Complementary angles total to a straight angle (90 degrees) (90 degrees).
x + (2/3)x = 90
(3/3)x + (2/3)x = 90
(5/3)x = 90
x = 90(3/5)
x = 54 degrees
The angle is 2/3 of this
The angle is (2/3)54 = 36 degrees
learn more about angles click here:
brainly.com/question/25716982
#SPJ4
5 x 7 = 7 x 5
What algebraic property is illustrated above?
A. commutative property of multiplication
B. associative property of multiplication
C. distributive property
D. transitive property
Answer:
A. commutative property of multiplication
Step-by-step explanation:
The commutative property of multiplication ,
States that when two numbers are being multiplied, their order can be changed without affecting the product.
Dilations… please help I will give you brainless
Answer:
The scale factor is 0.5
Step-by-step explanation:
Divide.
2/1=2
4/2=2
4/2=2
8/4=2
2/1=2
5/1.25=2
Now then, since this is a shrinking factor, divide 1 by the common outcome from the last section (2) to get 0.5
The triangle is to be reduced by a ratio of 1:2.
a
Answer:
where is the triangle?
Step-by-step explanation:
a) calculate the reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm. b) is this flow around the sphere turbulent? (yes/no/maybe) c) calculate the reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm.
a) The Reynolds number for a sphere moving in air is 83,333.33.
b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).
c) The Reynolds number for a sphere moving in water is 150,000.
Reynolds Number Sphere Flowa) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:
Re = (density * velocity * diameter) / viscosity
Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.
Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)
Re = 83333.33
b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.
c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:
Re = (density * velocity * diameter) / viscosity
Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².
Re = (1000 * 15 * 0.1) / (0.001)
Re = 150000
Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).
Learn more about Reynolds Number Sphere Flow here:
https://brainly.com/question/12977616
#SPJ4
Use implicit differentiation to find an equation of the tangent line to the curve
sin(x+y)=4x−4y at the point (π,π)
Answer:
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
Step-by-step explanation:
o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:
Differentiate both sides of the equation with respect to x:
cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx
Simplify by grouping the terms with dy/dx on one side and the rest on the other side:
cos(x+y) * (1 + dy/dx) + 4dy/dx = 4
Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):
cos(2π) * (1 + dy/dx) + 4dy/dx = 4
Simplify:
-5dy/dx = 4 - cos(2π)
dy/dx = -4/5
Use the point-slope form of the equation of a line to write the equation of the tangent line:
y - π = (-4/5)(x - π)
Simplify:
y = (-4/5)x + (8/5) + π
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
Justice needs 24 feet of fencing to surround his garden. The fencing is priced at $0.25 per inch how much will it cost justice to fence in his garden?
Answer:
66 dollars
Step-by-step explanation:
Justice needs $72 to fence in his garden.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Justice needs 24 feet of fencing to surround his garden.
The fencing is priced at $0.25 per inch.
Since, 1 foot = 12 inch
Hence, 24 feet = 24 x 12 inch = 288 inch.
Cost of the fencing in one inch = $0.25
So, Cost of the fencing in 288 inch = 288 x 0.25
= $72
Thus, Justice needs $72 to fence in his garden.
Learn more about the multiplication visit:
https://brainly.com/question/16788360
#SPJ6